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Math lesson plan · 2nd grade (Year 3 in England) · 45 minutes

Write three-digit numbers in expanded form

Number sense

CCSS 2.NBT.A.3England: Y2 Number and place valueEngland: Y3 Number and place value

Objective and success criteria

Students will: Write three-digit numbers in expanded form.

  • I can answer questions on today's skill on my own, without help.
  • I can explain each step and say why it works.
  • I can check my answer and spot a mistake.

Before and after

Needs first: Value of each digit in a three-digit number

Leads to: Build a number from hundreds, tens and ones in any order; Rename numbers using hundreds, tens and ones

Materials: Place value chart, Base-ten blocks or a number line, Mini whiteboards and pens, Printed student sheet (below).

Warm-up · 5 min

  • Quick retrieval from earlier learning (Value of each digit in a three-digit number). Students answer on mini whiteboards.
  • Show answers together and note who needs support in the main task.
  1. In 846, what is the tens digit worth? → 40Prompt: Hundreds are on the left, then tens, then ones.
  2. Which number has 7 hundreds, 0 tens and 9 ones? (79 / 709 / 907 / 7009) → 709Prompt: A three-digit number has a hundreds digit, a tens digit and a ones digit.
  3. Which digit is in the ones place of 967? → 7Prompt: From the right: ones, tens, hundreds.

Hook · 5 min

  • Show a number in the news or a price tag and ask what each digit is worth.
  • Share the objective: Write three-digit numbers in expanded form. Read the success criteria together.

I do: model it · 10 min

  • Work through the example out loud, saying why you do each step, not just what you do.
  • Example: 489 = 400 + 80 + __
  • Step 1: 489 = 400 + 80 + 9
  • Step 2: 9
  • Answer: 9
  • Pause after each step and ask a student to say what comes next.

We do: guided practice · 10 min

  • Do these together. Students try each step on whiteboards before you reveal it.
  • Use the hints as prompts rather than giving the answer.
  1. 913 = __ + 10 + 3 → 900Prompt: Expanded form shows what each digit is worth.
  2. Which is 504 in expanded form? (50 + 4 / 5 + 0 + 4 / 500 + 40 / 500 + 4) → 500 + 4Prompt: 504 has 0 tens.

You do: independent practice · 10 min

  • Students work on the student sheet. Circulate and check the first two answers of every student early.
  • Students who finish: write a question of their own for a partner, with the answer.

The 8 questions are on the student sheet below, with answers in the key.

Exit ticket · 5 min

  • Two questions on their own. Sort answers into got it / nearly / not yet to plan the next lesson.
  1. Fatima wrote 113 = 1 + 1 + 3. What should the first part, the hundreds, be? → 100Prompt: Does 1 + 1 + 3 really add up to 113?
  2. 679 = 600 + 70 + __ → 9Prompt: Expanded form shows what each digit is worth.

Watch out for

  • Reading 1,045 as one thousand four hundred five: point to each place and say its value.
  • Thinking a longer number is always bigger, even with decimals (0.45 vs 0.5).

Support and stretch

Support

  • Review first: Value of each digit in a three-digit number.
  • Use concrete materials: place value chart.
  • Give the first step of each question, or a partly worked example to finish.
  • Pair with a confident partner for the guided practice.

Stretch

  • Move on to: Build a number from hundreds, tens and ones in any order; Rename numbers using hundreds, tens and ones.
  • Explain a common mistake in writing and how to fix it.
  • Write a word problem that uses today's skill, then solve a partner's.

Homework and more practice

Free online practice with hints and printable worksheets for this skill: eurekami.com/math/grade-2.

Free lesson plan from eurekami.com/lesson-plan-builder

eurekami

Write three-digit numbers in expanded form

Name

Date

Score/ 8

  1. Question 1

    Which is 903 in expanded form?

    • A. 9 + 0 + 3
    • B. 90 + 3
    • C. 900 + 30
    • D. 900 + 3
  2. Question 2

    Grace wrote 687 = 6 + 8 + 7. What should the first part, the hundreds, be?

    Answer

  3. Question 3

    666 = 600 + 60 + __

    Answer

  4. Question 4

    Which is 104 in expanded form?

    • A. 10 + 4
    • B. 1 + 0 + 4
    • C. 100 + 4
    • D. 100 + 40
  5. Question 5

    Kai wrote 760 = 7 + 6 + 0. What should the first part, the hundreds, be?

    Answer

  6. Question 6

    417 = 400 + 10 + __

    Answer

  7. Question 7

    Which is 408 in expanded form?

    • A. 40 + 8
    • B. 4 + 0 + 8
    • C. 400 + 8
    • D. 400 + 80
  8. Question 8

    Ava wrote 141 = 1 + 4 + 1. What should the first part, the hundreds, be?

    Answer

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Answer key: Write three-digit numbers in expanded form

  1. 1. D. 900 + 3

  2. 2. 600

  3. 3. 6

  4. 4. C. 100 + 4

  5. 5. 700

  6. 6. 7

  7. 7. C. 400 + 8

  8. 8. 100